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Finding the Fourth Proportional to 6,986.04, 9,640.24 and 4,153.26

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Solution

The fourth proportional to 6,986.04, 9,640.24 and 4,153.26 is: 5,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.04 : 9,640.24 = 4,153.26 : x
  2. Step 2: Convert to fraction form
    6,986.04/9,640.24 = 4,153.26/x
  3. Step 3: Cross multiply
    6,986.04x = 9,640.24 × 4,153.26
  4. Step 4: Simplify right side
    6,986.04x = 40,038,423.18
  5. Step 5: Solve for x
    x = 40,038,423.18/6,986.04
  6. Step 6: Final answer
    x = 5,731.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.